36x^2-369x+90=0

Solution for 36x^2-369x+90=0 equation:

36x^2-369x+90=0

a = 36; b = -369; c = +90;
Δ = b2-4ac
Δ = -3692-4·36·90
Δ = 123201
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{123201}=351$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-369)-351}{2*36}=\frac{18}{72}
=1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-369)+351}{2*36}=\frac{720}{72}
=10
$